Question

Two parallel cords of a circle with radius 25 cm length of 30 cm and 48 cm. Find the distance between the two cords

Answers

let the distance of the shorter chord to the centre be x
x^2 + 15^2 = 25^2
x^ = 400 , x = 20
let the distance between the longer chord and the centre by y
y^2 + 24^2 = 25^2
y^2 = 49 , y = 7
so x+y = 27

the chords are 27 cm apart

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